A remark on the genus of the infinite quaternionic projective space
| dc.creator | Yau, Donald | |
| dc.date | 2001-06-23 | |
| dc.date | 2001-07-01 | |
| dc.date.accessioned | 2026-07-07T04:42:17Z | |
| dc.date.available | 2026-07-07T04:42:17Z | |
| dc.description | It is shown that only countably many spaces in the genus of $\hpinfty$, the infinite quaternionic projective space, can admit essential maps from $\cpinfty$, the infinite complex projective space. Examples of countably many homotopically distinct spaces in the genus of $\hpinfty$ which admit essential maps from $\cpinfty$ are constructed. These results strengthen a theorem of McGibbon and Rector which states that among the uncountably many homotopy types in its genus, $\hpinfty$ is the only one which admits a maximal torus. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0106198 | |
| dc.identifier | http://arxiv.org/abs/math/0106198 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61714 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P15 | |
| dc.title | A remark on the genus of the infinite quaternionic projective space | |
| dc.type | text |